How to convert linestrip into triangles
First you have can convert your "curve object" to "mesh object" (select your object, Alt+C, convert mesh from curve/meta/surf/text). Then you can do triangles in many ways. By hand, go to edit mode (press Tab) > press Ctrl+Tab > mesh select vertices > then shift click on 3 vertices you want to do a triangle and press F. An automatic way, can be, with the object converted to mesh and en edit mode, press A until you select all object > press F to fill > press Ctrl+T to triangulate.